heather has a family phone plan. The monthly payment for each phone is 22.91 per month plus a monthly line fee of $20 per phone. The cost of the family data plan is $70 per month and her monthly bill is $241.64. Wrote and solve an equation to find how many phones are on the plan.

Respuesta :

Answer:

There are 4 Phones in the Family phone Plan.

Step-by-step explanation:

Given:

Monthly payment for each phone = [tex]\$22.91+\$20= \$42.91[/tex]

Let the number of phones in the plan be x

cost of the family data plan per month = [tex]\$70[/tex]

Total Monthly bill = [tex]\$241.64[/tex]

Total Monthly bill = Monthly payment for each phone [tex]\times[/tex]number of phones in the plan [tex]+[/tex] cost of the family data plan per month

∴ The equation becomes after substituting the value,

[tex](42.91 \times x) + 70 = 241.64\\42.91x=241.64-70\\42.91x=171.64\\x= \frac{171.64}{42.91}\\x=4[/tex]

There are 4 Phones in the Family phone Plan

The number of phones on the family phone plan given in the question is;

4 phones

We are given;

Monthly payment for each phone = $22.91 + $20 = $42.91

Monthly cost of family data plan = $70

Total Monthly bill = $241.64

If the number of phones on the plan is p, then we have;

42.91p + 70 = 241.64

Using substitution property of equality, subtract 70 from both sides;

42.91p + 70 - 70 = 241.64 - 70

42.91p = 171.64

divide both sides by 42.91 to get;

p = 171.64/42.91

p = 4 phones

Thus, in conclusion, there are 4 phones on the plan.

Read more at; https://brainly.com/question/13973385